Overall Setting

1. 10 sites
2. each site size (nn) from 100 to 1,000
3. total size (N) from 1,000 to 10,000
4. replicates = 50


One binary variable

Scenario 1: 1 out of 10 is heterogenous

  • Site #1 – 9 setting (including local site):
    • X1 = rbinom(N-nn,1,0.3)
    • Beta = (1, -1)
  • Site #10 settings:
    • X1 = rbinom(nn,1,0.5)
    • Beta* = (1.5, -1)

Scenario 2: 2 out of 10 is heterogenous

  • Site #1 – 8 setting (including local site):
    • X1 = rbinom(N-2*nn,1,0.3)
    • Beta = (1, -1)
  • Site #9, 10 settings:
    • X1 = rbinom(2*nn,1,0.5)
    • Beta* = (1.5, -1)

Scenario 3: 1 out of 10 is heterogenous

  • Site #1 – 9 setting (including local site):
    • X1 = rbinom(N-nn,1,0.3)
    • Beta = (1, -1)
  • Site #10 settings:
    • X1 = rbinom(nn,1,0.9)
    • Beta* = (3.0, -1)

Scenario 4: 2 out of 10 is heterogenous

  • Site #1 – 8 setting (including local site):
    • X1 = rbinom(N-2*nn,1,0.3)
    • Beta = (1, -1)
  • Site #9, 10 settings:
    • X1 = rbinom(2*nn,1,0.9)
    • Beta* = (3.0, -1)


Two variables

Scenario 1: 1 out of 10 is heterogenous

  • Site #1 – 9 setting (including local site):
    • X1 = rborn(N-nn)
    • X2 = rbinom(N-nn,1,0.3)
    • Beta = (1, 1, -1)
  • Site #10 settings:
    • X1 = rborn(N-nn,1,1)
    • X2 = rbinom(nn,1,0.5)
    • Beta* = (1.5, 0.8, -1)